x velocity = 11.60 m/s
m = 8255 kg
KE = .5mv^2 = 555.4 kJ
p = mv = 9.58 x 10^4 kg * m/s
Storm Runner Accelerating
m = 8255 kg
a = 11.34 m/s^2
v final = 12.0866 m/s
change in time = 1.033 sec
Change in p = mv - mv = 12.0866 * 8255 = 9.98 * 10^4 kg*m/s
Change in KE = 1/2 mv^2 = 603.0 kJ
Concluding Statements
Comparing the start kinetic energy and about that halfway through the ride, there has been about 50 kJ of energy lost which is reasonable, due to friction (and human error). Overall I would have expected the velocity of the the roller coasters to be a lot greater, but the two different numbers I gathered were rather close for different parts of the ride so there is some precision. One assumption that I made on the curved section of video was that the y component of velocity was not too important and not as accurately recorded as possible, and therefore was neglected.
Runner of Storms
x velocity = 11.60 m/s
m = 8255 kg
KE = .5mv^2 = 555.4 kJ
p = mv = 9.58 x 10^4 kg * m/s
Storm Runner Accelerating
m = 8255 kg
a = 11.34 m/s^2
v final = 12.0866 m/s
change in time = 1.033 sec
Change in p = mv - mv = 12.0866 * 8255 = 9.98 * 10^4 kg*m/s
Change in KE = 1/2 mv^2 = 603.0 kJ
Concluding Statements
Comparing the start kinetic energy and about that halfway through the ride, there has been about 50 kJ of energy lost which is reasonable, due to friction (and human error). Overall I would have expected the velocity of the the roller coasters to be a lot greater, but the two different numbers I gathered were rather close for different parts of the ride so there is some precision. One assumption that I made on the curved section of video was that the y component of velocity was not too important and not as accurately recorded as possible, and therefore was neglected.